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Question : In an examination, 45% of students passed in history and 60% of students passed in Hindi. If 8% of students failed in both subjects, then what percentage of students passed in both subjects?
Option 1: 15%
Option 2: 10%
Option 3: 13%
Option 4: 12%
Correct Answer: 13%
Solution : Students who passed in History = 45% Students who failed in History [n(History)] = 100 – 45 = 55% Students who passed in Hindi = 60% Students who failed in Hindi [n(Hindi)] = 100 – 60= 40% Students failed in both subjects [n(History∩Hindi)]= 8% We
Question : Directions: Select the set in which the numbers are related in the same way as the numbers of the following sets. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 – Operations on 13 such as adding/subtracting/multiplying, etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is NOT allowed.) (34, 12, 10) (56, 17, 22)
Option 1: (56, 19, 8)
Option 2: (46, 19, 8)
Option 3: (46, 19, 18)
Option 4: (46, 49, 8)
Correct Answer: (46, 19, 8)
Solution : Given: (34, 12, 10); (56, 17, 22)
Here, (34, 12, 10)→(12 × 2) + 10 = 24 + 10 = 34 (56, 17, 22)→(17 × 2) + 22 = 34 + 22 = 56
Let's check the options – First option: (56, 19,
Question : What is the value of $\frac{7 \times 4 \div 8}{5 \times 25 \div 125}+\frac{5 \times 4 \div 8}{8 \times 4 \div 16}-\frac{7 \times 4 \div 2}{8 \times 7 \div 4}$?
Option 1: $4$
Option 2: $\frac{13}{4}$
Option 3: $\frac{15}{4}$
Option 4: $\frac{9}{2}$
Correct Answer: $\frac{15}{4}$
Solution : $\frac{7 \times 4 \div 8}{5 \times 25 \div 125}+\frac{5 \times 4 \div 8}{8 \times 4 \div 16}-\frac{7 \times 4 \div 2}{8 \times 7 \div 4}$ = $\frac{7 \times 0.5}{5 \times 0.2}+\frac{5 \times 0.5}{8 \times 0.25}-\frac{7 \times 2}{8 \times 1.75}$ = $\frac{3.5}{1}+\frac{2.5}{2}-\frac{14}{14}$ = $\frac{7}{2}+\frac{5}{4}-1$ = $\frac{14+5-4}{4}$
Question : A cylinder 84 cm long is made of steel. Its external and internal diameters are 10 cm and 8 cm respectively. What is the volume of the steel in the cylinder (in 10–3 m3 and correct up to three decimal places)?
Option 1: 2.112
Option 2: 9.504
Option 3: 2.376
Option 4: 4.752
Correct Answer: 2.376
Solution : The volume of a hollow cylinder =$ \pi (R^2 - r^2)h$, where $R$ is the external radius and $r$ is the internal radius, $h$ = height Given: Height of the cylinder, $h$ = $84$ cm External radius of the cylinder, $R = \frac{10}{2} = 5$
Question : Select the most appropriate meaning of the underlined idiom in the given sentence. When it comes to finishing his school work, Johny is an eager beaver.
Option 1: someone who is snobbish
Option 2: very lethargic and unwilling to work
Option 3: a keen and enthusiastic person
Option 4: always confident and sure of oneself
Correct Answer: a keen and enthusiastic person
Solution : The third option is the correct choice.
The idiom, eager beaver means a keen and enthusiastic person who works very hard.
Therefore, the correct answer is, a keen and enthusiastic person.
Question : Ram Nath Kovind granted to which Constitution Amendment Act empowered states and UTs to identify and specify Socially and Educationally Backward Classes or SEBCs?
Option 1: 105th
Option 2: 104th
Option 3: 103rd
Option 4: 102nd
Correct Answer: 105th
Solution : The correct answer is 105th.
The State Government was given back authority to acknowledge Socially and Educationally Backward Classes, or SEBCs, by the 105th Constitutional Amendment Act, often known as the 105th Amendment to the Indian Constitution. The President signed the 105th Amendment into
Question : Comprehension: Read the given passage and answer the questions that follow.
Ghana was the first true African state. The reason why we are saying this is that most African states lived in tribal villages but Ghana was the centre of the gold trade. This gold trade opened new possibilities for the Ghanaians. The gold trade roots back to the 4th century, when African Soninke tribes were under the rule of the Maga, a Berber clan originating from Morocco. This clan has mastered trans-Saharan camel travel. They were known for trading salt for gold from the Soninke.
When the Arabs invaded North Africa, there was an upsurge in the trade in gold. Ghana became rich and soon after, the Soninke ousted the Maga and built their own nation under Kaya Magan Cisse, who became the Soninke king around 790.
Ghana’s ancient capital, Koumbi Salah, was the city where Africans and Berbers met and traded. Arab traders in the 9th century described Ghana as ‘the land of gold.’ The gold came from Asante and Senegal to the south and west. The trade routes led north and east to Morocco, Libya Aksum and so on to Europe and Asia.
Ghana had reached its peak in the 10th century. This was the country which controlled both the gold and salt trades. Other trading goods included woollen clothes, luxury items, leather goods and slaves. Traders transported goods hundreds of kilometres across the Sahara desert with camel caravans. Question: Maga, a Berber clan originated from:
Option 1: Morocco
Option 2: Senegal
Option 3: Aksum
Option 4: Libya
Correct Answer: Morocco
Solution : The correct choice is the first option.
The passage states that Maga, a Berber clan, originated from Morocco. Here's the relevant excerpt from the passage: "The gold trade roots back to the 4th century, when African Soninke tribes were under the rule of the Maga,
Question : The work done by the string of a simple pendulum during one complete oscillation is equal to
Option 1: The total energy of a pendulum
Option 2: Kinetic energy of the pendulum
Option 3: Potential energy of the pendulum
Option 4: Zero
Correct Answer: Zero
Solution : The correct option is Zero.
The work done by a basic pendulum's string during one complete oscillation is zero. This is because the tension in the string is always perpendicular to the bob's movement. A force's work is equal to its force multiplied by its
Question : "Dollar Bahu" is written by whom among the following Indian authors?
Option 1: Kiran Desai
Option 2: Arundhati Roy
Option 3: Sudha Murty
Option 4: Khushwant Singh
Correct Answer: Sudha Murty
Solution : The correct option is Sudha Murty.
"Dollar Bahu" is a novel written by Indian author Sudha Murty. Sudha Murty is a well-known writer, social worker and the chairperson of Infosys Foundation, a non-profit organization. The book explores themes of family, values and the
Question : A number is decreased by 20% to get another number. The number so obtained is increased by 200% to get a third number. The difference between the third number and the original number is what percentage more or less than the difference between the second and the third number?
Option 1: 15.7% more
Option 2: 15.7% less
Option 3: 12.5% more
Option 4: 12.5% less
Correct Answer: 12.5% less
Solution : Let the first number be 100 After a 20% decrease, the second number = 100 – 20 = 80 After a 200% increase in the second number, the third number = 80 + $\frac{200}{100}\times 80$ = 240 Difference between the third number and the
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